A certain sum is lent at 4%.p.a. for 3 years, 8% p.a. for the next 4 years, and 12% pa, beyond 7 years. If for a period of 11 years the simple interest obtained is ₹27,600, then the sum is (in ₹):
Let the sum lent be Rs. x. Simple Interest = Rs. 27,600 Now, S.I. = (P × R × T)/100 For 11 years, 27,600 = (x × 4 × 3)/100 + (x × 8 × 4)/100 + (x × 12 × (11 – 7))/100 ⇒ 27,600 = x × (12 + 32 + 48)/100 ⇒ 27,600 = x ×( 92/100) ⇒ x = Rs. (27,600 × 100)/92 ⇒ x = Rs. 30,000
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